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Simplifying -42 = -7x + 2(-1x + 24) Reorder the terms: -42 = -7x + 2(24 + -1x) -42 = -7x + (24 * 2 + -1x * 2) -42 = -7x + (48 + -2x) Reorder the terms: -42 = 48 + -7x + -2x Combine like terms: -7x + -2x = -9x -42 = 48 + -9x Solving -42 = 48 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -42 + 9x = 48 + -9x + 9x Combine like terms: -9x + 9x = 0 -42 + 9x = 48 + 0 -42 + 9x = 48 Add '42' to each side of the equation. -42 + 42 + 9x = 48 + 42 Combine like terms: -42 + 42 = 0 0 + 9x = 48 + 42 9x = 48 + 42 Combine like terms: 48 + 42 = 90 9x = 90 Divide each side by '9'. x = 10 Simplifying x = 10
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